{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Python for Finance (2nd ed.)\n",
    "\n",
    "**Mastering Data-Driven Finance**\n",
    "\n",
    "&copy; Dr. Yves J. Hilpisch | The Python Quants GmbH\n",
    "\n",
    "<img src=\"http://hilpisch.com/images/py4fi_2nd_shadow.png\" width=\"300px\" align=\"left\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Stochastics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import numpy as np\n",
    "import numpy.random as npr  \n",
    "from pylab import plt, mpl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.style.use('seaborn')\n",
    "mpl.rcParams['font.family'] = 'serif'\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Random Numbers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "npr.seed(100)  \n",
    "np.set_printoptions(precision=4) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "uuid": "8763b99e-6b02-4003-8567-c0f505986e5a"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.5434, 0.2784, 0.4245, 0.8448, 0.0047, 0.1216, 0.6707, 0.8259,\n",
       "       0.1367, 0.5751])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "npr.rand(10)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "uuid": "16f2a7c4-62dd-4d0f-bde9-fafb61e0fb64"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.8913, 0.2092, 0.1853, 0.1084, 0.2197],\n",
       "       [0.9786, 0.8117, 0.1719, 0.8162, 0.2741],\n",
       "       [0.4317, 0.94  , 0.8176, 0.3361, 0.1754],\n",
       "       [0.3728, 0.0057, 0.2524, 0.7957, 0.0153],\n",
       "       [0.5988, 0.6038, 0.1051, 0.3819, 0.0365]])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "npr.rand(5, 5)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "uuid": "2d14b433-a7da-4aac-a534-56ab4c8a5d84"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([9.4521, 9.9046, 5.2997, 9.4527, 7.8845, 8.7124, 8.1509, 7.9092,\n",
       "       5.1022, 6.0501])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = 5.  \n",
    "b = 10.  \n",
    "npr.rand(10) * (b - a) + a  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "uuid": "a05adb2b-5704-4189-b0e8-19318ac3f0b9"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[7.7234, 8.8456, 6.2535, 6.4295, 9.262 ],\n",
       "       [9.875 , 9.4243, 6.7975, 7.9943, 6.774 ],\n",
       "       [6.701 , 5.8904, 6.1885, 5.2243, 7.5272],\n",
       "       [6.8813, 7.964 , 8.1497, 5.713 , 9.6692],\n",
       "       [9.7319, 8.0115, 6.9388, 6.8159, 6.0217]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "npr.rand(5, 5) * (b - a) + a  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "uuid": "4618b170-6bd3-4500-905a-0fe402f198c1"
   },
   "outputs": [],
   "source": [
    "sample_size = 500\n",
    "rn1 = npr.rand(sample_size, 3)  \n",
    "rn2 = npr.randint(0, 10, sample_size)  \n",
    "rn3 = npr.sample(size=sample_size)  \n",
    "a = [0, 25, 50, 75, 100]  \n",
    "rn4 = npr.choice(a, size=sample_size) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "uuid": "d03c9514-c224-4d2b-ad2a-9285058823b0"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ((ax1, ax2), (ax3, ax4)) = plt.subplots(nrows=2, ncols=2,\n",
    "                                             figsize=(10, 8))\n",
    "ax1.hist(rn1, bins=25, stacked=True)\n",
    "ax1.set_title('rand')\n",
    "ax1.set_ylabel('frequency')\n",
    "ax2.hist(rn2, bins=25)\n",
    "ax2.set_title('randint')\n",
    "ax3.hist(rn3, bins=25)\n",
    "ax3.set_title('sample')\n",
    "ax3.set_ylabel('frequency')\n",
    "ax4.hist(rn4, bins=25)\n",
    "ax4.set_title('choice');\n",
    "# plt.savefig('../../images/ch12/stoch_01.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "uuid": "fb2966ea-91ff-49c7-80e6-24bd6162cc5a"
   },
   "outputs": [],
   "source": [
    "sample_size = 500\n",
    "rn1 = npr.standard_normal(sample_size)  \n",
    "rn2 = npr.normal(100, 20, sample_size)  \n",
    "rn3 = npr.chisquare(df=0.5, size=sample_size)  \n",
    "rn4 = npr.poisson(lam=1.0, size=sample_size)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "uuid": "3f790711-f965-4a10-b3df-47cc85d708d3"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ((ax1, ax2), (ax3, ax4)) = plt.subplots(nrows=2, ncols=2,\n",
    "                                             figsize=(10, 8))\n",
    "ax1.hist(rn1, bins=25)\n",
    "ax1.set_title('standard normal')\n",
    "ax1.set_ylabel('frequency')\n",
    "ax2.hist(rn2, bins=25)\n",
    "ax2.set_title('normal(100, 20)')\n",
    "ax3.hist(rn3, bins=25)\n",
    "ax3.set_title('chi square')\n",
    "ax3.set_ylabel('frequency')\n",
    "ax4.hist(rn4, bins=25)\n",
    "ax4.set_title('Poisson');\n",
    "# plt.savefig('../../images/ch12/stoch_02.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Random Variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "uuid": "ac34499c-4675-457e-a0ac-40b8efcdb72e"
   },
   "outputs": [],
   "source": [
    "S0 = 100  \n",
    "r = 0.05  \n",
    "sigma = 0.25  \n",
    "T = 2.0  \n",
    "I = 10000  \n",
    "ST1 = S0 * np.exp((r - 0.5 * sigma ** 2) * T +\n",
    "        sigma * math.sqrt(T) * npr.standard_normal(I))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": true,
    "uuid": "7fc0b66a-9ce3-4c5e-bb99-d5e0363a6678"
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmQAAAFyCAYAAABbdsanAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAZaUlEQVR4nO3df9CudV0n8DdyUEEPw6E95Kbbj2X0Y/TLtoxhMZJjZgnspDW72qgV6tRuYypCHmlR8gdzCDT6QTXT7LFtrO2XFQRbEmKhDFFWM7ub+HEMx8oMUA9CkojE/nFdT+fxDA/cyLnP9znP/XrNPHOe63tf931/7s+5nnPez/f6dcT9998fAADGedToAgAAVp1ABgAwmEAGADCYQAYAMJhABgAwmEAGADDYttEFPBK3337XYX/Njh07jsm+fXePLmM4fdhPLyb6MNGH/fRiog+Tw7EPO3duP2Kjx8yQDbZt25GjS9gU9GE/vZjow0Qf9tOLiT5MtlofBDIAgMEEMgCAwQQyAIDBBDIAgMEEMgCAwQQyAIDBBDIAgMEEMgCAwQQyAIDBBDIAgMEEMgCAwQQyAIDBBDIAgMG2jS6Aw9vZe65baL29u3ctuRIAOHyZIQMAGEwgAwAYTCADABhMIAMAGEwgAwAYTCADABhMIAMAGEwgAwAYzIVhOSRcQBYANmaGDABgMIEMAGAwuyx5QIvuYgQAHjkzZAAAgwlkAACDCWQAAIMJZAAAgwlkAACDCWQAAIMJZAAAgwlkAACDCWQAAIMJZAAAgwlkAACDCWQAAIMJZAAAgwlkAACDbVvmi1fVeUm+Msknkjw5yUuTHJ1kT5Jb5rHzu/vWdesfm2RHkmu6+8pl1gcAsBksbYasqp6Q5HVJXtHdb0jyuCTPT3JRkmu7e0+S30ty6bz+yUlO7+4Lkrw6yVur6rhl1QcAsFksc5fl3Uk+l2nGK0ken+Svk5yR5MZ57IZ5OUnOXBvv7nuT3JzktCXWBwCwKSxtl2V33znvgvyNqvp4kr9P8uEkJyS5a17tziQ7qmrbPH7zupe4cx7b0I4dx2TbtiMPeu2H2s6d20eXsGnoxUQfJvow0Yf99GKiD5Ot1IelBbKqelqS85L8h+7+fFW9Ncnrk9yWZHuSOzLNnu2bH18bX3PsvO6G9u27eym1H0o7d27P7bff9dArroizXnPFQuvt3b1ryZWMY5uY6MNEH/bTi4k+TA7HPjxYgFzmLssnJvlUd39+Xv54kscmuTrJKfPYqfNykly1Nj7PmJ2U5Pol1gcAsCks8yzLP0zy3Hlm7I4kX5vkVUnuSXJxVT0lyYlJzk2S7r6pqt5TVRdlOsvynO6+Y4n1AQBsCss8huy+JD+ywcMv3+A5lyyrHgCAzcqFYQEABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAbbNroADp2z91w3ugQA4AGYIQMAGEwgAwAYTCADABhMIAMAGEwgAwAYTCADABhMIAMAGEwgAwAYTCADABjMlfo5LC1614G9u3ctuRIAeOTMkAEADCaQAQAMJpABAAwmkAEADCaQAQAMJpABAAwmkAEADCaQAQAMJpABAAwmkAEADCaQAQAMJpABAAwmkAEADCaQAQAMJpABAAwmkAEADCaQAQAMJpABAAwmkAEADCaQAQAMJpABAAy2bXQBsExn77luofX27t615EoAYGNmyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAG27bMF6+qSvLCJP+c5NuSXJjkw0n2JLklyZOTnN/dt87rn5fk2CQ7klzT3Vcusz4AgM1gaTNkVXVkkrcleWN3X5zkpUk+kuSiJNd2954kv5fk0nn9k5Oc3t0XJHl1krdW1XHLqg8AYLNY5i7Lpyc5Iskrqup1Sc5K8okkZyS5cV7nhnk5Sc5cG+/ue5PcnOS0JdYHALApLHOX5VckOSXJC7v701X1jiSfS3JCkrvmde5MsqOqts3jN697/p3z2IZ27Dgm27YdedALP9R27tw+uoSVt9n+DjZbPaPow0Qf9tOLiT5MtlIflhnI7kzywe7+9Lz8viTPTHJbku1J7sh0vNi+7v58Va2Nrzl2XndD+/bdfbBrPuR27tye22+/66FXZKnOes0VC6+7d/euJVZim1ijDxN92E8vJvowORz78GABcpm7LG9K8iXzsWTJNGP2oSRXZ5o5S5JT5+UkuWptfJ4xOynJ9UusDwBgU1jaDFl3f6qqXpvksqq6PcnOJG9McnSSi6vqKUlOTHLuvP5NVfWeqroo01mW53T3HcuqDwBgs1jqZS+6+3eT/O4Bw/+c5OUbrH/JMusBANiMXBgWAGAwgQwAYDCBDABgMIEMAGAwgQwAYDCBDABgMIEMAGAwgQwAYLClXhiWQ+PsPdeNLgEAeATMkAEADCaQAQAMJpABAAwmkAEADCaQAQAMJpABAAwmkAEADCaQAQAMtlAgq6o3LbsQAIBVteiV+s+sqq9K8u4k/6u7P7vEmgAAVsqiuyxf0t0vSvJ3SS6vqj1VdeIS6wIAWBmLzpDdNf95S5I7krw8yTdU1W1Jfqa7/2IZxQEArIJFZ8j2VtXVSd6b5O4kT+vu78oUzF67rOIAAFbBojNkT0xyYZLv7u57Dxh/6sEuCgBglSwayL6/u/90baGqjuzu+7r7I0m+fjmlAQCshkV3Wb60qq5at/xrVfWfllEQAMCqWTSQHdXdZ65bfkESgQwA4CBYNJDdtn6hu+9P8umDXw4AwOpZ9BiyL62qVyS5Icn9SZ6R5N8srSoAgBWy6AzZOUlOTnLN/PX0eQwAgEdooRmy7v5kkhetH5uv1P/JZRQFALBKFgpkVXVkkl1JvjT7Z9VelOQ7llQXAMDKWPQYsquSHJvkb5LcN489cSkVAQCsmEUD2fbuPnX9QFXtWkI9AAArZ9GD+t89HzO23lMOdjEAAKto0RmylyTZXVWfSHJPkiOS7Ejyi8sqDABgVSwayP4+yTPXLR+R6WbjAAA8QosGsud0993rB6rqB5dQDwDAylk0kD2+qn4hydFJfjDJ25LsTrJvWYXBZnX2nusWWm/vbue9ALCYRQ/qvyTJ9Unu6e7PZDp27CeXVhUAwApZNJB9rLv/R5J/SpLu/qskdyytKgCAFbJoIPuS+c/7k6SqHpfkwMtgAADwRVj0GLJrq+r/JXlMVV2d5JuTvGJ5ZQEArI5Fby7+W1X1f5J8e6ZLXpzT3b3UygAAVsSiM2SZA9i/hrCqel53/+5SqgIAWCELBbKq2vsAwycnEcgAAB6hRWfI/l2Sd8zfH5XkaUn+91IqAgBYMYsGsrO7++/WD1TVniXUAwCwchYNZEdU1ZfP3z8qyb9N8h+XUxIAwGpZNJD93ySfzHSG5f1JPh5X6gcAOCgWDWRv6O7LlloJAMCKWvRK/Xdv9EBV/fBBqgUAYCUtOkP2+qp6wQOMH5HkyZluNg4AwBdh0UD2O0k+neS98/Izkjw2ydVJzllCXQAAK+PhXKn/gnWL11TV27r7T6rqw0uoCwBgZSx6DNnXVdWj1xaq6jFJvjFJuvtjyygMAGBVPJxdlh+tqj/PdNmLpyd5y9KqAgBYIQvNkHX3zyZ5dpI/SvLuJM/p7suXWRgAwKpY+BiyJJ9NcnOSP850pX4AAA6ChWbIquoHkrwryesyXerip6rqRUusCwBgZSw6Q/atma43dnl335vke6vq8iTvWFpl5Ow9140uAQA4BBY9y/Ifu/tfDhg7cBkAgC/CojNkO6vq+5IcV1VPT/IdSY5fXlkAAKtj0UD22iQ/neTb568/SPKjizyxqo5OclOSa7r73Ko6PsmeJLdk2g16fnffOq97XpJjk+yY17/yYXwWAIDD0qKB7MVJfrm7X/JFvMebk/zVuuWLklzb3b9ZVWcluTTJi6vq5CSnd/dzq+qoJB+oquu7+44v4j0BAA4bix5Ddl6Sv3u4L15VL05yQ5KPrBs+I8mN8/c3zMtJcuba+HziwM1JTnu47wkAcLhZdIbsvUn+Zv1AVX1/d//PjZ5QVScl+eruPr+qvn7dQyckuWv+/s4kO6pq2zx+87r17pzHNrRjxzHZtu3IBT/C5rVz5/bRJbAEj+Tv1TYx0YeJPuynFxN9mGylPiwayO5K8t6q+uMk98xjz02yYSBL8rwkn62q3UmekeTRVfWqJLcl2Z7kjkzHi+3r7s9X1dr4mmPndTe0b9/dC5a/ee3cuT23337XQ6/IYeeL/Xu1TUz0YaIP++nFRB8mh2MfHixAPmggq6qfT7I704H8vzIPH7HIm3b3v97rsqoem+Tx3X1ZVT01ySmZdoGemuTqebWrkrxhXn9bkpOSXL/IewEAHM4eaobsnu6+s6qO6O6fWP9AVd23yBtU1fdkOhbs0VX1wiTnJ7m4qp6S5MQk5yZJd99UVe+pqosynWV5jgP6OZwtemHfvbt3LbkSADa7hwpkVVVnJ/lwVR14huVCB9x39zuTvPOA4ZdvsO4li7wmAMBW8lCB7KIkL0nypCSnH/DYE5dSEQDAinnQQNbd70vyvqp6fnf/zvrHqur5S60MAGBFLHQdsgPD2EZjAAA8fIteGBYAgCURyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAG2za6AFh1Z++5bqH19u7eteRKABjFDBkAwGACGQDAYAIZAMBgAhkAwGACGQDAYAIZAMBgAhkAwGACGQDAYAIZAMBgAhkAwGACGQDAYAIZAMBgAhkAwGACGQDAYAIZAMBgAhkAwGDbRhcALObsPdcttN7e3buWXAkAB5sZMgCAwQQyAIDBBDIAgMEEMgCAwQQyAIDBBDIAgMEEMgCAwQQyAIDBBDIAgMEEMgCAwQQyAIDBBDIAgMEEMgCAwQQyAIDBto0uYBWdvee60SUAAJuIGTIAgMHMkMEWs+gM7N7du5ZcCQCLMkMGADCYQAYAMJhABgAwmEAGADCYQAYAMJhABgAwmEAGADCYQAYAMJhABgAwmEAGADDY0m6dVFUnJnlzkr9M8qQkn+zuN1bV8Un2JLklyZOTnN/dt87POS/JsUl2JLmmu69cVn0AAJvFMmfIjk/y6919SXe/MskLquqbklyU5Nru3pPk95JcmiRVdXKS07v7giSvTvLWqjpuifUBAGwKSwtk3f3n3X3FAe/1mSRnJLlxHrthXk6SM9fGu/veJDcnOW1Z9QEAbBZL22W5XlU9L8m7uvuDVXVCkrvmh+5MsqOqtiU5IVMIy7rHTniw192x45hs23bkMkqGLW/nzu2jS3hIh0ONh4I+7KcXE32YbKU+LD2QVdXpSU5P8qp56LYk25Pckel4sX3d/fmqWhtfc+y87ob27bv74BcMK+Ks11zx0Csl2bt715IreWA7d27P7bff9dArbnH6sJ9eTPRhcjj24cEC5FLPsqyqM5I8J8krkzyhqk5JcnWSU+ZVTp2Xk+SqtfF5xuykJNcvsz4AgM1gmWdZflOS30jy/iTvSfK4JJcnOT/JxVX1lCQnJjk3Sbr7pqp6T1VdlOksy3O6+45l1QcAsFksLZB1918kefwGD798g+dcsqx6AAA2KxeGBQAYTCADABhMIAMAGEwgAwAYTCADABhMIAMAGEwgAwAYTCADABhMIAMAGEwgAwAYTCADABhMIAMAGEwgAwAYTCADABhMIAMAGEwgAwAYTCADABhMIAMAGEwgAwAYTCADABhs2+gCgM3t7D3XLbzu3t27llgJwNZlhgwAYDCBDABgMIEMAGAwgQwAYDCBDABgMGdZAgfNomdkOhsT4AsJZAfRw7k8AADAGrssAQAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAZzYVjgkHNFf4AvZIYMAGAwM2TApmUmDVgVZsgAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABnMvS+Cw556XwOHODBkAwGACGQDAYHZZAivDrk1gszJDBgAwmBmyBSz6WzWwNSzjZ96sG/BgzJABAAwmkAEADGaXJcAhcLB3g9oFCluLGTIAgMHMkAEchlzCA7YWgQxgCxPc4PCw6QJZVX17kucnuS3J/d39E4NLAgBYqk0VyKrqmCS/mORruvueqnpnVT2ru989ujaArWzkSQdOeIBNFsiSnJLko919z7x8Q5IzkghkABxUIy/6vWhoPNi7nLfSLuyzXnPFQX290Z/5iPvvv39oAetV1QuT/Jfu/u55+WVJntndLxpbGQDA8my2y17clmT7uuVj5zEAgC1rswWyG5N8RVU9Zl4+NcnVA+sBAFi6TbXLMkmq6tlJvjfJ7UnudZYlALDVbbpABgCwajbbLksAgJUjkAEADLbZrkO25VXVnyb57Lx4X3c/q6qOT7InyS1Jnpzk/O6+dVSNy1BVT0jy5iTf0N1Pn8c2/NxVdV6ms2x3JLmmu68cUvhBtkEfLkzyzHWrvaW7/2h+bKv24cRMffjLJE9K8snufuOqbRMP0ocLs3rbxKOS/H6Sm5I8OsmJSc5OcnRWa5vYqA+vzYptE0lSVUdn6sU13X3uVv43QiA79P6wuy88YOyiJNd2929W1VlJLk3y4kNe2XI9I8kVSZ62buwBP3dVnZzk9O5+blUdleQDVXV9d99x6Ms+6B6oD+nuZx644hbvw/FJfr27r0iSqvpAVV2d5OVZrW1ioz6s4jaRJDd295uTpKquyHQbvW/Nam0TyQP3YVW3iTcn+at1y1v2/w27LA+9r6uq11bVhVV1xjx2RqZLfiT7706wpXT3bye564DhjT73mWvj3X1vkpuTnHYIyly6DfqQqvrxqjp33jaOmYe3ch/+fC2EzB6V5DNZsW3iQfqwitvEv6wLIdsyzRh2Vm+b2KgPK7dNVNWLM/2df2Td8JbdHgSyQ+/i7r44yZuSnF9VpyU5Ifv/k74zyY75B3Gr2+hzrx9fe+yEQ1zbofRbSS7r7kszfe6fncdXog9V9bwk7+ruD2aFt4kD+rCy20RVPSfJVUmu6u73Z0W3iQfow0ptE1V1UpKv7u7fOeChLbs9CGSHWHf/2fznfUnem+T0fOEdCo5Nsq+7Pz+mwkNqo8+9Unds6O6/7u7PzIvXJVm7odqW70NVnZ7pZ+DV89BKbhMH9mGVt4nufld3f2eSr6qq/5YV3SYO7MMKbhPPS/LZqtqd6VCPb6mqV2ULbw8C2SFUVU+tqpeuG3pykg9nuhvBKfPYKt2dYKPPfdXa+Pybz0lJrj/k1R0iVXXJusW1bSLZ4n2Yd9k/J8krkzyhqk7JCm4TD9SHVdwmquqkdYdxJNNuqn+fFdsmNurDqm0T3f2W7n5jd+9J8r4kf9bdl2ULbw8uDHsIVdWXJbk80xlVxyY5Ksk5SY5LcnGSj2Y6o2b3FjzL8tuSvCTJdyb5hSRvzXT21AN+7vlsmR3z1x8cbmfLbGSDPrw+yTGZfpv7uiSv7+4Pzetv1T58U5I/SfL+eehxmX42rswKbRMP0ofK6m0TJya5JNO/j0cl+eokP5rkc1mtbWKjPrwyK7ZNJElVfU+SH8l0xunlSd6VLbo9CGQAAIPZZQkAMJhABgAwmEAGADCYQAYAMJhABgAwmEAGbGpV9b6q+tqH+Zwfrqp/qKpnHqQaLquqg35KelV9eVVdWVV/fLBfGzi8CGTAZvd9ST7wcJ7Q3b+Y5EMHq4DuftXBeq0DXvdvk7xtGa8NHF5W4X6JwGFqvijkm5NcXFW/lemikE9K8itJnpXkn5Kc2d33VtUTk7w9ySeS3JrkMete5/hMF5P8RJInJLm+u99eVW9K8rr56/ok70jyy939loeo6xsyXdT5H5J8ZZLLMt0771eT3Jfkh+b3+tUkt3T391fVf07y7CSfTPLEJOd19z8+ogYBW4YZMmDT6u53Jrlp/v4zSV6UKcy8o7tPzXTvurV7+v10pptzf1+SNyX5mnUv9dNJ/qS7X5fkZUkuqKqndPcFSS5N8o2Z7hzxcwuEsaOSvDPJf59f74Ikv5nkg0lem+T+7v7LefbrI0leVlWV5A1Jfqi7d2e6Ov9PPoLWAFuMGTLgcPOJtVvGJPmbJF86f78ryZ4k6e5PVdVfr3vOdyV5dFU9Y17+aKaZrQ9lunXV+5Psntd7KJUpFP74lLOSJLcnOT7JtUl+aT7m7dNJPj7P3j07yWOT/Pz8nO1ZN4MHIJABh5t71n1/X75wpv/BDrx/W3fflCRV9Zgk/5Ik3f25qvqzTGHshEy7Ox/MEfPzfnhtoKoel+Tu7r6/qt6e5KVJ9iX55XXP+dABz3n8Q7wPsELssgS2iuuSnJ4kVXVcvnCX5R8m+Y51y7+W5MvmdV+c5PeT/FySX1rgfT6Y5B+r6lvn5x+d6UbGa2Hw7ZlORHhqd988j/1Rkm+uqu3zc74xyU893A8IbF1uLg5sWusO6v9YpoPoX5PkeZl2L3amEPWxJP81yd2ZwtCtmQ6oPy3J3yZ55fzYzyb5VKZfRG/s7l+pqlcmeUWSH8gU0H41yW8nedl8zNpaHW+d3/+S7v6xqnpakjdm2mV6XJLLu/v969Z/V5Jf7+63rxt7QZIXrHvOjyV5XKbj274lyYXdvUggBLYggQwAYDC7LAEABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAG+/+C00mxCaEwvQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(ST1, bins=50)\n",
    "plt.xlabel('index level')\n",
    "plt.ylabel('frequency');\n",
    "# plt.savefig('../../images/ch12/stoch_03.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "uuid": "c37a0783-81b1-449f-924e-f792ba5017aa"
   },
   "outputs": [],
   "source": [
    "ST2 = S0 * npr.lognormal((r - 0.5 * sigma ** 2) * T,\n",
    "                        sigma * math.sqrt(T), size=I)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "uuid": "fea07d0c-7fc1-4ab8-8b21-fc36e73c3151"
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmQAAAFyCAYAAABbdsanAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAZZ0lEQVR4nO3df7DvdV0n8CdyUEEvw6Uuuen2Yxl9Gf2yLWNYlIQyS3A3rdlVR61Qp3YbUwnySquRP5hLgNGW1Uyz2DbW9stKhFYRsVCGKKuZ3U18OYpjZQZXvQhJIuLdP76fs+d4h3PvF7jf+z7nfB+PmTvcz/v7+X7P67zu+3Kf5/35ddT+/fsDAMA4DxtdAADAshPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAZbGV3AQ7F3713b9p4dO3cel3377h5dxnD6sEYvZvRhjV6s0YsZfVizGXuxa9eOozZ6zQrZJrWycvToEjYFfVijFzP6sEYv1ujFjD6s2Wq9EMgAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAZbGV0ArHfunuvn2u/K3WctuBIAOHKskAEADCaQAQAMJpABAAwmkAEADCaQAQAM5ipLjoh5r54EgGUkkPGQCFoA8NA5ZAkAMJhABgAwmEAGADCYQAYAMJhABgAwmEAGADCYQAYAMJhABgAwmEAGADCYQAYAMJhABgAwmEAGADCYQAYAMJhABgAwmEAGADCYQAYAMJhABgAwmEAGADCYQAYAMJhABgAwmEAGADCYQAYAMNjKIj+8qi5I8nVJPpXk8UlenOTYJHuS3DqNXdjdt63b//gkO5Nc291XLbI+AIDNYGGBrKoek+TVSb6yu79UVW9P8pwkT01yXXf/XlU9K8llSV5YVacmObO7n1lVxyT5YFXd0N13LKpGtq5z91w/135X7j5rwZUAwEO3yEOWdyf5QmYrXkny6CR/m+TsJDdNYzdO20lyzup4d9+b5JYkZyywPgCATWFhK2Tdfed0CPJ3q+qTSf4hyUeSnJTkrmm3O5PsrKqVafyWdR9x5zS2oZ07j8vKytGHvfbNYteuHaNL2PK2Ww+32/fzYOnDGr1Yoxcz+rBmK/VikYcsn5TkgiT/tru/WFWXJ3ltktuT7EhyR2arZ/um11fHVx0/7buhffvuXkjtm8GuXTuyd+9dh96Rg9pOPTQnZvRhjV6s0YsZfVizGXtxsIC4yEOWj03yme7+4rT9ySSPTHJNktOmsdOn7SS5enV8WjE7JckNC6wPAGBTWORVlu9M8sxpZeyOJN+U5BVJ7klySVU9IcnJSc5Pku6+uareW1UXZ3aV5XlO6AcAlsEizyG7L8lPbPDySzd4z6WLqgcAYLNyY1gAgMEEMgCAwQQyAIDBBDIAgMEEMgCAwQQyAIDBBDIAgMEEMgCAwQQyAIDBBDIAgMEEMgCAwQQyAIDBFvZwcba2c/dcP7oEAFgaVsgAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAZbGV0ALNK5e66fa78rd5+14EoAYGNWyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAZz24slMu8tIACAI8sKGQDAYAIZAMBgAhkAwGACGQDAYAIZAMBgrrKEPLArUD2IHIDDzQoZAMBgAhkAwGACGQDAYAIZAMBgAhkAwGACGQDAYAIZAMBgAhkAwGACGQDAYAIZAMBgAhkAwGACGQDAYAIZAMBgAhkAwGACGQDAYCuL/PCqqiTPS/IvSb4ryUVJPpJkT5Jbkzw+yYXdfdu0/wVJjk+yM8m13X3VIusDANgMFrZCVlVHJ3lTktd19yVJXpzkY0kuTnJdd+9J8sdJLpv2PzXJmd39miSvTHJ5VZ2wqPoAADaLRR6yfHKSo5K8rKpeneRZST6V5OwkN0373DhtJ8k5q+PdfW+SW5KcscD6AAA2hUUesvzaJKcleV53f7aq3prkC0lOSnLXtM+dSXZW1co0fsu69985jW1o587jsrJy9GEvfLPYtWvH6BK4HyP/XMyJGX1Yoxdr9GJGH9ZspV4sMpDdmeRD3f3Zafv9SZ6W5PYkO5Lckdn5Yvu6+4tVtTq+6vhp3w3t23f34a5509i1a0f27r3r0DtyxI36czEnZvRhjV6s0YsZfVizGXtxsIC4yEOWNyf5iulcsmS2YvbhJNdktnKWJKdP20ly9er4tGJ2SpIbFlgfAMCmsLAVsu7+TFW9KskVVbU3ya4kr0tybJJLquoJSU5Ocv60/81V9d6qujizqyzP6+47FlUfAMBmsdDbXnT3HyX5owOG/yXJSzfY/9JF1gMAsBm5MSwAwGACGQDAYAIZAMBgAhkAwGACGQDAYAIZAMBgAhkAwGACGQDAYAIZAMBgAhkAwGACGQDAYAIZAMBgAhkAwGACGQDAYAIZAMBgcwWyqnr9ogsBAFhWK3Pud05VfX2S9yT5n939+QXWBACwVOY9ZPmi7n5Bkr9P8uaq2lNVJy+wLgCApTHvCtld039vTXJHkpcm+daquj3Jf+vuv1pEcQAAy2DeFbIrq+qaJO9LcneSJ3X392cWzF61qOIAAJbBvCtkj01yUZIf6O57Dxh/4uEuCgBgmcwbyH64u/98daOqju7u+7r7Y0m+ZTGlAQAsh3kPWb64qq5et/3bVfXvF1EQAMCymTeQHdPd56zbfm4SgQwA4DCYN5Ddvn6ju/cn+ezhLwcAYPnMew7ZV1XVy5LcmGR/kqck+cqFVQUAsETmXSE7L8mpSa6dfj15GgMA4CGaa4Wsuz+d5AXrx6Y79X96EUUBACyTuQJZVR2d5KwkX5W1VbUXJPneBdXFA3DunutHlwAAPATznkN2dZLjk3w0yX3T2GMXUhEAwJKZN5Dt6O7T1w9U1VkLqAcAYOnMG8jeU1Und/dH1409IYljZSydeQ8RX7nbzywAzGfeQPaiJLur6lNJ7klyVJKdSX5tUYUBACyLeQPZPyR52rrtozJ72DgAAA/RvIHsGd199/qBqvrRBdQDALB05g1kj66qX01ybJIfTfKmJLuT7FtUYQAAy2LeO/VfmuSGJPd09+cyO3fs5xdWFQDAEpk3kH2iu/97kn9Oku7+myR3LKwqAIAlMm8g+4rpv/uTpKoeleTkhVQEALBk5j2H7Lqq+r9JHlFV1yT5jiQvW1xZAADLY96Hi/9+Vf3vJN+T2S0vzuvuXmhlAABLYt4VskwB7P+HsKp6dnf/0UKqAgBYInMFsqq68n6GT00ikAEAPETzrpD96yRvnX5/TJInJfmThVQEALBk5g1k53b3368fqKo9C6gHAGDpzBvIjqqqr5l+/7Ak/yrJv1tMSQAAy2XeQPZ/knw6syss9yf5ZNypHwDgsJg3kP1sd1+x0EoAAJbUvHfqv3ujF6rqxw9TLQAAS2neFbLXVtVz72f8qCSPz+xh4wAAPAjzBrI/TPLZJO+btp+S5JFJrkly3gLqAgBYGg/kTv2vWbd5bVW9qbv/rKo+soC6AACWxrznkH1zVT18daOqHpHk25Kkuz+xiMIAAJbFAzlk+fGq+svMbnvx5CRvXFhVAABLZK4Vsu7+pSRPT/LuJO9J8ozufvMiCwMAWBZzn0OW5PNJbknyp5ndqR8AgMNgrhWyqvqRJO9K8urMbnXxC1X1ggXWBQCwNOY9qf+pmd1v7MPdfW93/1CS0xZXFgDA8pg3kP1Td3/pgLEDtwEAeBDmPYdsV1U9P8kJVfXkJN+b5MTFlQVb37l7rp9rvyt3n7XgSgDY7OZdIXtVku9L8j1J/iRJJfnJRRUFALBM5l0he2GS3+juFy2yGACAZTRvILsgyYM6rlJVxya5Ocm13X1+VZ2YZE+SWzO7UODC7r5t2veCJMcn2Tntf9WD+ZoAAFvJvIcs35fko+sHquqH53zvG5L8zbrti5Nc1917kvxxksumzzs1yZnTMzNfmeTyqjphzq8BALBlzbtCdleS91XVnya5Zxp7ZpL/cbA3VdULk9yY5FuSPHoaPjtrj126cd1nnJPkpiTp7nur6pYkZySxSgYAbGsHDWRV9StJdmd2Mv9vTsNHzfPBVXVKkm/o7gur6lvWvXRSZgEvSe5MsrOqVqbxW9btd+c0tqGdO4/LysrR85SzJe3atWN0CRwBD+TP2ZyY0Yc1erFGL2b0Yc1W6sWhVsju6e47q+qo7v659S9U1X2HeO+zk3y+qnYneUqSh1fVK5LcnmRHkjsyO19sX3d/sapWx1cdP+27oX377j5ECVvXrl07snfvXYfekS1v3j9nc2JGH9boxRq9mNGHNZuxFwcLiIcKZFVV5yb5SFUdeIXlGQd7Y3evHpZMVT0yyaO7+4qqemJmd/n/+ySnJ7lm2u3qJD877b+S5JQkNxyiPgCALe9QgeziJC9K8rgkZx7w2mPn+QJV9YOZhbeHV9XzklyY5JKqekKSk5OcnyTdfXNVvbeqLs7sKsvzuvuOub8TAIAt6qCBrLvfn+T9VfWc7v7D9a9V1XPm+QLd/bYkbztg+KUb7HvpPJ8JALCdzHXbiwPD2EZjAAA8cPPehwwAgAURyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGWxldACy7c/dcP9d+77j8Pyy4EgBGsUIGADCYQAYAMJhABgAwmEAGADCYQAYAMJhABgAwmNtewBbxrJ96+1z7Xbn7rAVXAsDhZoUMAGAwgQwAYDCBDABgMIEMAGAwgQwAYDCBDABgMIEMAGAwgQwAYDCBDABgMIEMAGAwgQwAYDCBDABgMIEMAGCwldEFsLFz91w/ugQA4AiwQgYAMJhABgAwmEAGADCYc8hgm5n33MMrd5+14EoAmJcVMgCAwQQyAIDBBDIAgMEEMgCAwQQyAIDBBDIAgMEEMgCAwQQyAIDBBDIAgMEEMgCAwQQyAIDBBDIAgMEEMgCAwQQyAIDBBDIAgMEEMgCAwQQyAIDBBDIAgMEEMgCAwVYW9cFVdXKSNyT56ySPS/Lp7n5dVZ2YZE+SW5M8PsmF3X3b9J4LkhyfZGeSa7v7qkXVBwCwWSxyhezEJL/T3Zd298uTPLeqvj3JxUmu6+49Sf44yWVJUlWnJjmzu1+T5JVJLq+qExZYHwDAprCwQNbdf9ndbz/ga30uydlJbprGbpy2k+Sc1fHuvjfJLUnOWFR9AACbxcIOWa5XVc9O8q7u/lBVnZTkrumlO5PsrKqVJCdlFsKy7rWTDva5O3cel5WVoxdRMmx7u3btGF3Cg7aVaz/c9GKNXszow5qt1IuFB7KqOjPJmUleMQ3dnmRHkjsyO19sX3d/sapWx1cdP+27oX377j78BW8SW2kSsTXt3XvXoXfahHbt2rFlaz/c9GKNXszow5rN2IuD/du+0Kssq+rsJM9I8vIkj6mq05Jck+S0aZfTp+0kuXp1fFoxOyXJDYusDwBgM1jkVZbfnuR3k3wgyXuTPCrJm5NcmOSSqnpCkpOTnJ8k3X1zVb23qi7O7CrL87r7jkXVB8vu3D3Xz7XflbvPWnAlACwskHX3XyV59AYvv3SD91y6qHoAADYrN4YFABhMIAMAGEwgAwAYTCADABhMIAMAGEwgAwAYTCADABhMIAMAGEwgAwAYbOEPFwe2tnkfsZR4zBLAgyWQDfBA/oEDALY/hywBAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAYTyAAABhPIAAAGE8gAAAbz6CTgsJn3sWCeeQnw5ayQAQAMJpABAAwmkAEADCaQAQAMJpABAAwmkAEADCaQAQAM5j5kwBHnfmUAX84KGQDAYAIZAMBgAhkAwGACGQDAYAIZAMBgAhkAwGACGQDAYAIZAMBgbgwLbFpuIAssCytkAACDCWQAAIMJZAAAgzmHDNjynGsGbHVWyAAABhPIAAAGE8gAAAYTyAAABnNS/2E074nFAADrWSEDABhMIAMAGEwgAwAYTCADABhMIAMAGMxVlsDS8IglYLMSyAAOsIhb2Ah5wME4ZAkAMJgVMoBNxGFVWE4CGcAR4EkewME4ZAkAMJhABgAwmEOWc3CoAQBYJIEMYAs63D8oukgAxtp0gayqvifJc5LcnmR/d//c4JIAtj1Xd8JYmyqQVdVxSX4tyTd29z1V9baq+u7ufs/o2gAYewqHMMh2tqkCWZLTkny8u++Ztm9McnYSgQxgyY0Kg/MGwZFPeLDCubGt0puj9u/fP7SA9arqeUn+U3f/wLT9kiRP6+4XjK0MAGBxNtttL25PsmPd9vHTGADAtrXZAtlNSb62qh4xbZ+e5JqB9QAALNymOmSZJFX19CQ/lGRvkntdZQkAbHebLpABACybzXbIEgBg6QhkAACDbbb7kC2lqvrzJJ+fNu/r7u+uqhOT7Elya5LHJ7mwu28bVeOiVNVjkrwhybd295OnsQ2/96q6ILOrb3cmuba7rxpS+AJs0IuLkjxt3W5v7O53T69ty15U1cmZ9eGvkzwuyae7+3XLNi8O0oeLsnxz4mFJ3pHk5iQPT3JyknOTHJvlmhMb9eFVWbI5saqqjs2sH9d29/lb+f8TAtnm8M7uvuiAsYuTXNfdv1dVz0pyWZIXHvHKFu8pSd6e5Enrxu73e6+qU5Oc2d3PrKpjknywqm7o7juOfNkLcX+9SHc/7cAdt3kvTkzyO9399iSpqg9W1TVJXprlmhcb9WEZ50SS3NTdb0iSqnp7Zo/Ye2qWa04k99+HZZ0TyeyHlr9Zt71l//1wyHJz+OaqelVVXVRVZ09jZ2d2G5Bk7YkF2053/0GSuw4Y3uh7P2d1vLvvTXJLkjOOQJlHxAa9SFX9TFWdP82R46bhbduL7v7L1RAyeViSz2XJ5sVB+rCMc+JL60LISmYrhp3lmxMb9WHp5kSSVNULM/tz/9i64S07JwSyzeGS7r4kyeuTXFhVZyQ5KWv/ON+ZZOf0F3AZbPS9rx9ffe2kI1zbkfb7Sa7o7ssy+95/aRpfil5U1bOTvKu7P5QlnhcH9GFp50RVPSPJ1Umu7u4PZEnnxP30YenmRFWdkuQbuvsPD3hpy84JgWwT6O6/mP57X5L3JTkzX/7UguOT7OvuL46p8Ijb6Htfuic5dPffdvfnps3rk6w+bG3b96Kqzszs78Irp6GlnBcH9mGZ50R3v6u7vy/J11fVf8mSzokD+7Ckc+LZST5fVbszO93jO6vqFdnCc0IgG6yqnlhVL1439PgkH8nsCQWnTWPL9sSCjb73q1fHp594TklywxGv7giqqkvXba7OjWSb92I6dP+MJC9P8piqOi1LOC/urw/LOCeq6pR1p3Mks0NU/yZLNic26sMyzonufmN3v6679yR5f5K/6O4rsoXnhBvDDlZVX53kzZldSXV8kmOSnJfkhCSXJPl4ZlfS7N6mV1l+V5IXJfm+JL+a5PLMrpy63+99ukpm5/Trf222q2Qeig168dokx2X2k9w3J3ltd3942n9b9qKqvj3JnyX5wDT0qMz+jlyVJZoXB+lDZfnmxMlJLs3s/5PHJPmGJD+Z5AtZrjmxUR9eniWbE6uq6geT/ERmV52+Ocm7skXnhEAGADCYQ5YAAIMJZAAAgwlkAACDCWQAAIMJZAAAgwlkwKZWVe+vqm96gO/58ar6x6p62mGq4YqqOuyXpFfV11TVVVX1p4f7s4GtRSADNrvnJ/ngA3lDd/9akg8frgK6+xWH67MO+Ny/S/KmRXw2sLUsy7MRgS1ouunjG5JcUlW/n9lNHx+X5DeTfHeSf05yTnffW1WPTfKWJJ9KcluSR6z7nBMzu1nkp5I8JskN3f2Wqnp9kldPv25I8tYkv9HdbzxEXd+a2Q2c/zHJ1yW5IrNn4/1WkvuS/Nj0tX4rya3d/cNV9R+TPD3Jp5M8NskF3f1PD6lBwLZhhQzYtLr7bUlunn7/uSQvyCzMvLW7T8/s2XSrz+37xcwewP38JK9P8o3rPuoXk/xZd786yUuSvKaqntDdr0lyWZJvy+wJEb88Rxg7JsnbkvzX6fNek+T3knwoyauS7O/uv55Wvz6W5CVVVUl+NsmPdffuzO7A//MPoTXANmOFDNhqPrX6WJgkH03yVdPvz0qyJ0m6+zNV9bfr3vP9SR5eVU+Ztj+e2crWhzN7PNUHkuye9juUyiwU/swsZyVJ9iY5Mcl1SX59Oufts0k+Oa3ePT3JI5P8yvSeHVm3ggcgkAFbzT3rfn9fvnyl/2An3r+pu29Okqp6RJIvJUl3f6Gq/iKzMHZSZoc7D+ao6X0/vjpQVY9Kcnd376+qtyR5cZJ9SX5j3Xs+fMB7Hn2IrwMsEYcsge3i+iRnJklVnZAvP2T5ziTfu277t5N89bTvC5O8I8kvJ/n1Ob7Oh5L8U1U9dXr/sZk9qHg1DL4lswsRntjdt0xj707yHVW1Y3rPtyX5hQf6DQLbl4eLA5vWupP6P5HZSfQ/leTZmR1e7MxC1CeS/Ockd2cWhm7L7IT6M5L8XZKXT6/9UpLPZPaD6E3d/ZtV9fIkL0vyI5kFtN9K8gdJXjKds7Zax+XT17+0u3+6qp6U5HWZHTI9Icmbu/sD6/Z/V5Lf6e63rBt7bpLnrnvPTyd5VGbnt31nkou6e55ACGxDAhkAwGAOWQIADCaQAQAMJpABAAwmkAEADCaQAQAMJpABAAwmkAEADCaQAQAM9v8ACs9R9km9Y6EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(ST2, bins=50)\n",
    "plt.xlabel('index level')\n",
    "plt.ylabel('frequency');\n",
    "# plt.savefig('../../images/ch12/stoch_04.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "uuid": "e5e17dcf-21f4-42ee-bcec-21103aaa8bb3"
   },
   "outputs": [],
   "source": [
    "import scipy.stats as scs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "uuid": "d6f800c9-f38f-4fe1-8cb5-fe9253f1194c"
   },
   "outputs": [],
   "source": [
    "def print_statistics(a1, a2):\n",
    "    ''' Prints selected statistics.\n",
    "    \n",
    "    Parameters\n",
    "    ==========\n",
    "    a1, a2: ndarray objects\n",
    "        results objects from simulation\n",
    "    '''\n",
    "    sta1 = scs.describe(a1)  \n",
    "    sta2 = scs.describe(a2)  \n",
    "    print('%14s %14s %14s' % \n",
    "        ('statistic', 'data set 1', 'data set 2'))\n",
    "    print(45 * \"-\")\n",
    "    print('%14s %14.3f %14.3f' % ('size', sta1[0], sta2[0]))\n",
    "    print('%14s %14.3f %14.3f' % ('min', sta1[1][0], sta2[1][0]))\n",
    "    print('%14s %14.3f %14.3f' % ('max', sta1[1][1], sta2[1][1]))\n",
    "    print('%14s %14.3f %14.3f' % ('mean', sta1[2], sta2[2]))\n",
    "    print('%14s %14.3f %14.3f' % ('std', np.sqrt(sta1[3]), np.sqrt(sta2[3])))\n",
    "    print('%14s %14.3f %14.3f' % ('skew', sta1[4], sta2[4]))\n",
    "    print('%14s %14.3f %14.3f' % ('kurtosis', sta1[5], sta2[5]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "uuid": "980679e8-56af-49e3-85f3-4b4d1ed90312"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     statistic     data set 1     data set 2\n",
      "---------------------------------------------\n",
      "          size      10000.000      10000.000\n",
      "           min         32.327         28.230\n",
      "           max        414.825        409.110\n",
      "          mean        110.730        110.431\n",
      "           std         40.300         39.878\n",
      "          skew          1.122          1.115\n",
      "      kurtosis          2.438          2.217\n"
     ]
    }
   ],
   "source": [
    "print_statistics(ST1, ST2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Stochastic Processes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Geometric Brownian Motion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "uuid": "a6b64214-0041-49cb-b7a8-7b4965d1d03a"
   },
   "outputs": [],
   "source": [
    "I = 10000  \n",
    "M = 50  \n",
    "dt = T / M  \n",
    "S = np.zeros((M + 1, I))  \n",
    "S[0] = S0  \n",
    "for t in range(1, M + 1):\n",
    "    S[t] = S[t - 1] * np.exp((r - 0.5 * sigma ** 2) * dt +\n",
    "            sigma * math.sqrt(dt) * npr.standard_normal(I))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "uuid": "969180df-b1f3-4f6d-8ec6-21cadbec06f1"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(S[-1], bins=50)\n",
    "plt.xlabel('index level')\n",
    "plt.ylabel('frequency');\n",
    "# plt.savefig('../../images/ch12/stoch_05.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "uuid": "37d83fc1-6b2d-4d94-a5d1-75d2ba569283"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     statistic     data set 1     data set 2\n",
      "---------------------------------------------\n",
      "          size      10000.000      10000.000\n",
      "           min         27.746         28.230\n",
      "           max        382.096        409.110\n",
      "          mean        110.423        110.431\n",
      "           std         39.179         39.878\n",
      "          skew          1.069          1.115\n",
      "      kurtosis          2.028          2.217\n"
     ]
    }
   ],
   "source": [
    "print_statistics(S[-1], ST2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "uuid": "c424f261-aa3f-4b04-9b5d-bb6824107fa0"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(S[:, :10], lw=1.5)\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('index level');\n",
    "# plt.savefig('../../images/ch12/stoch_06.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Square-Root Diffusion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "uuid": "b00481e7-074a-4d04-a65d-4ee95f971116"
   },
   "outputs": [],
   "source": [
    "x0 = 0.05  \n",
    "kappa = 3.0  \n",
    "theta = 0.02  \n",
    "sigma = 0.1  \n",
    "I = 10000\n",
    "M = 50\n",
    "dt = T / M"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "uuid": "e085f53a-d065-424e-b1f4-d41c64464c2a"
   },
   "outputs": [],
   "source": [
    "def srd_euler():\n",
    "    xh = np.zeros((M + 1, I))\n",
    "    x = np.zeros_like(xh)\n",
    "    xh[0] = x0\n",
    "    x[0] = x0\n",
    "    for t in range(1, M + 1):\n",
    "        xh[t] = (xh[t - 1] +\n",
    "                 kappa * (theta - np.maximum(xh[t - 1], 0)) * dt +\n",
    "                 sigma * np.sqrt(np.maximum(xh[t - 1], 0)) *\n",
    "                 math.sqrt(dt) * npr.standard_normal(I))  \n",
    "    x = np.maximum(xh, 0)\n",
    "    return x\n",
    "x1 = srd_euler()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "uuid": "93283652-414e-4773-99ca-00e0b24cc088"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(x1[-1], bins=50)\n",
    "plt.xlabel('value')\n",
    "plt.ylabel('frequency');\n",
    "# plt.savefig('../../images/ch12/stoch_07.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "uuid": "59c2b6b1-7c7d-44bd-8ae3-8ad16dd2eb30"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(x1[:, :10], lw=1.5)\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('index level');\n",
    "# plt.savefig('../../images/ch12/stoch_08.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "uuid": "b901c93e-a4a9-4f8f-98d9-69754cb586bf"
   },
   "outputs": [],
   "source": [
    "def srd_exact():\n",
    "    x = np.zeros((M + 1, I))\n",
    "    x[0] = x0\n",
    "    for t in range(1, M + 1):\n",
    "        df = 4 * theta * kappa / sigma ** 2  \n",
    "        c = (sigma ** 2 * (1 - np.exp(-kappa * dt))) / (4 * kappa)  \n",
    "        nc = np.exp(-kappa * dt) / c * x[t - 1]  \n",
    "        x[t] = c * npr.noncentral_chisquare(df, nc, size=I)  \n",
    "    return x\n",
    "x2 = srd_exact()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "uuid": "98648791-2251-4313-baef-e65e4f3ea059"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(x2[-1], bins=50)\n",
    "plt.xlabel('value')\n",
    "plt.ylabel('frequency');\n",
    "# plt.savefig('../../images/ch12/stoch_09.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "uuid": "3d998e1a-e225-4de8-b09b-abf8651d30cb"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(x2[:, :10], lw=1.5)\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('index level');\n",
    "# plt.savefig('../../images/ch12/stoch_10.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "uuid": "fc247695-7a20-4452-8c74-96ace26f2ebe"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     statistic     data set 1     data set 2\n",
      "---------------------------------------------\n",
      "          size      10000.000      10000.000\n",
      "           min          0.003          0.005\n",
      "           max          0.049          0.047\n",
      "          mean          0.020          0.020\n",
      "           std          0.006          0.006\n",
      "          skew          0.529          0.532\n",
      "      kurtosis          0.289          0.273\n"
     ]
    }
   ],
   "source": [
    "print_statistics(x1[-1], x2[-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "uuid": "7f49cc7d-5264-459c-a9b7-d602daed9f2b"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 637 ms, sys: 99.5 ms, total: 737 ms\n",
      "Wall time: 739 ms\n"
     ]
    }
   ],
   "source": [
    "I = 250000\n",
    "%time x1 = srd_euler()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "uuid": "ede482c4-ec2c-43e2-8128-0c97b44469bd"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 1.27 s, sys: 9.97 ms, total: 1.28 s\n",
      "Wall time: 1.29 s\n"
     ]
    }
   ],
   "source": [
    "%time x2 = srd_exact()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "uuid": "84a26be5-eede-4478-9f67-c6a97f9804f9"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     statistic     data set 1     data set 2\n",
      "---------------------------------------------\n",
      "          size     250000.000     250000.000\n",
      "           min          0.002          0.003\n",
      "           max          0.071          0.055\n",
      "          mean          0.020          0.020\n",
      "           std          0.006          0.006\n",
      "          skew          0.563          0.579\n",
      "      kurtosis          0.492          0.520\n"
     ]
    }
   ],
   "source": [
    "print_statistics(x1[-1], x2[-1])\n",
    "x1 = 0.0; x2 = 0.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Stochastic Volatility"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "uuid": "786bc4c9-bff7-4a6d-9ae5-1f62c1813518"
   },
   "outputs": [],
   "source": [
    "S0 = 100.\n",
    "r = 0.05\n",
    "v0 = 0.1  \n",
    "kappa = 3.0\n",
    "theta = 0.25\n",
    "sigma = 0.1\n",
    "rho = 0.6  \n",
    "T = 1.0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "uuid": "0db5ac22-1065-4fd5-92a8-3ccb0780d34c"
   },
   "outputs": [],
   "source": [
    "corr_mat = np.zeros((2, 2))\n",
    "corr_mat[0, :] = [1.0, rho]\n",
    "corr_mat[1, :] = [rho, 1.0]\n",
    "cho_mat = np.linalg.cholesky(corr_mat)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "uuid": "41b7d810-38b5-4831-bb66-84a57c97415b"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1. , 0. ],\n",
       "       [0.6, 0.8]])"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cho_mat  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "M = 50\n",
    "I = 10000\n",
    "dt = T / M"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "uuid": "b16ca288-23eb-463b-9b63-4765eea564f9"
   },
   "outputs": [],
   "source": [
    "ran_num = npr.standard_normal((2, M + 1, I))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "v = np.zeros_like(ran_num[0])\n",
    "vh = np.zeros_like(v)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "v[0] = v0\n",
    "vh[0] = v0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "for t in range(1, M + 1):\n",
    "    ran = np.dot(cho_mat, ran_num[:, t, :])  \n",
    "    vh[t] = (vh[t - 1] +\n",
    "             kappa * (theta - np.maximum(vh[t - 1], 0)) * dt +\n",
    "             sigma * np.sqrt(np.maximum(vh[t - 1], 0)) * \n",
    "             math.sqrt(dt) * ran[1])  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "uuid": "e7ae274e-fec0-43f5-a171-0dd5f131e6c2"
   },
   "outputs": [],
   "source": [
    "v = np.maximum(vh, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "uuid": "0016d6a1-4c5c-4617-847a-d0d1510c3fb9"
   },
   "outputs": [],
   "source": [
    "S = np.zeros_like(ran_num[0])\n",
    "S[0] = S0\n",
    "for t in range(1, M + 1):\n",
    "    ran = np.dot(cho_mat, ran_num[:, t, :])\n",
    "    S[t] = S[t - 1] * np.exp((r - 0.5 * v[t]) * dt +\n",
    "                    np.sqrt(v[t]) * ran[0] * np.sqrt(dt))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "uuid": "5db99fd6-5e32-4c1f-8186-fe6ac910b0c8"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 6))\n",
    "ax1.hist(S[-1], bins=50)\n",
    "ax1.set_xlabel('index level')\n",
    "ax1.set_ylabel('frequency')\n",
    "ax2.hist(v[-1], bins=50)\n",
    "ax2.set_xlabel('volatility');\n",
    "# plt.savefig('../../images/ch12/stoch_11.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "uuid": "398e803e-e0d8-4bc1-9c2a-53ad78cf524d"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     statistic     data set 1     data set 2\n",
      "---------------------------------------------\n",
      "          size      10000.000      10000.000\n",
      "           min         20.556          0.174\n",
      "           max        517.798          0.328\n",
      "          mean        107.843          0.243\n",
      "           std         51.341          0.020\n",
      "          skew          1.577          0.124\n",
      "      kurtosis          4.306          0.048\n"
     ]
    }
   ],
   "source": [
    "print_statistics(S[-1], v[-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "uuid": "0b542695-d86d-47d9-8be4-760cd9a7786b"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(2, 1, sharex=True,\n",
    "                               figsize=(10, 6))\n",
    "ax1.plot(S[:, :10], lw=1.5)\n",
    "ax1.set_ylabel('index level')\n",
    "ax2.plot(v[:, :10], lw=1.5)\n",
    "ax2.set_xlabel('time')\n",
    "ax2.set_ylabel('volatility');\n",
    "# plt.savefig('../../images/ch12/stoch_12.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Jump-Diffusion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "S0 = 100.\n",
    "r = 0.05\n",
    "sigma = 0.2\n",
    "lamb = 0.75  \n",
    "mu = -0.6  \n",
    "delta = 0.25  \n",
    "rj = lamb * (math.exp(mu + 0.5 * delta ** 2) - 1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "uuid": "4d34dbf3-196e-4125-a11d-f967982540e2"
   },
   "outputs": [],
   "source": [
    "T = 1.0\n",
    "M = 50\n",
    "I = 10000\n",
    "dt = T / M"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "uuid": "b22527e8-afc1-4c69-8253-4e8b6a64f0da"
   },
   "outputs": [],
   "source": [
    "S = np.zeros((M + 1, I))\n",
    "S[0] = S0\n",
    "sn1 = npr.standard_normal((M + 1, I))  \n",
    "sn2 = npr.standard_normal((M + 1, I))  \n",
    "poi = npr.poisson(lamb * dt, (M + 1, I))  \n",
    "for t in range(1, M + 1, 1):\n",
    "    S[t] = S[t - 1] * (np.exp((r - rj - 0.5 * sigma ** 2) * dt +\n",
    "                       sigma * math.sqrt(dt) * sn1[t]) +\n",
    "                       (np.exp(mu + delta * sn2[t]) - 1) *\n",
    "                       poi[t])  \n",
    "    S[t] = np.maximum(S[t], 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "uuid": "19508067-6759-4e88-9276-0d21a0be9e8e"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(S[-1], bins=50)\n",
    "plt.xlabel('value')\n",
    "plt.ylabel('frequency');\n",
    "# plt.savefig('../../images/ch12/stoch_13.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "uuid": "27046a97-3c3c-4265-bde7-45f9b71dc001"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(S[:, :10], lw=1.5)\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('index level');\n",
    "# plt.savefig('../../images/ch12/stoch_14.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Variance Reduction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "uuid": "293a9f5c-7ae1-4994-b11d-64ba5312559a"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "           Mean  Std. Deviation\n",
      "-------------------------------\n",
      " 0.001150944833  1.006296354600\n",
      " 0.002841204001  0.995987967146\n",
      " 0.001998082016  0.997701714233\n",
      " 0.001322322067  0.997771186968\n",
      " 0.000592711311  0.998388962646\n",
      "-0.000339730751  0.998399891450\n",
      "-0.000228109010  0.998657429396\n",
      " 0.000295768719  0.998877333340\n",
      " 0.000257107789  0.999284894532\n",
      "-0.000357870642  0.999456401088\n",
      "-0.000528443742  0.999617831131\n",
      "-0.000300171536  0.999445228838\n",
      "-0.000162924037  0.999516059328\n",
      " 0.000135778889  0.999611052522\n",
      " 0.000182006048  0.999619405229\n"
     ]
    }
   ],
   "source": [
    "print('%15s %15s' % ('Mean', 'Std. Deviation'))\n",
    "print(31 * '-')\n",
    "for i in range(1, 31, 2):\n",
    "    npr.seed(100)\n",
    "    sn = npr.standard_normal(i ** 2 * 10000)\n",
    "    print('%15.12f %15.12f' % (sn.mean(), sn.std()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "uuid": "5940d5f7-72ed-4fd2-8a48-d66c2d5e45db"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8410000"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "i ** 2 * 10000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "sn = npr.standard_normal(int(10000 / 2))\n",
    "sn = np.concatenate((sn, -sn))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "uuid": "732f2ba4-3133-4508-92a1-10ee47519f36"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(10000,)"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.shape(sn)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.842170943040401e-18"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sn.mean()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "uuid": "3f166fbb-ed57-403f-b251-1b5579ec261d"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "           Mean  Std. Deviation\n",
      "-------------------------------\n",
      " 0.000000000000  1.009653753942\n",
      "-0.000000000000  1.000413716783\n",
      " 0.000000000000  1.002925061201\n",
      "-0.000000000000  1.000755212673\n",
      " 0.000000000000  1.001636910076\n",
      "-0.000000000000  1.000726758438\n",
      "-0.000000000000  1.001621265149\n",
      " 0.000000000000  1.001203722778\n",
      "-0.000000000000  1.000556669784\n",
      "-0.000000000000  1.000113464185\n",
      "-0.000000000000  0.999435175324\n",
      "-0.000000000000  0.999356961431\n",
      "-0.000000000000  0.999641436845\n",
      "-0.000000000000  0.999642768905\n",
      "-0.000000000000  0.999638303451\n"
     ]
    }
   ],
   "source": [
    "print('%15s %15s' % ('Mean', 'Std. Deviation'))\n",
    "print(31 * \"-\")\n",
    "for i in range(1, 31, 2):\n",
    "    npr.seed(1000)\n",
    "    sn = npr.standard_normal(i ** 2 * int(10000 / 2))\n",
    "    sn = np.concatenate((sn, -sn))\n",
    "    print(\"%15.12f %15.12f\" % (sn.mean(), sn.std()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "uuid": "de17794f-4dfd-4441-8d0f-bd097ac0da2c"
   },
   "outputs": [],
   "source": [
    "sn = npr.standard_normal(10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "uuid": "0251bf81-b4d8-4828-80be-9ff972204d06"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.001165998295162494"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sn.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "uuid": "a59c5234-0398-4260-9bcb-d63cd6a7c917"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.991255920204605"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sn.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "uuid": "699ea494-9c78-4ddc-b153-ce291039f77e"
   },
   "outputs": [],
   "source": [
    "sn_new = (sn - sn.mean()) / sn.std()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "uuid": "e5836915-236c-4c1b-9012-20fb52e50608"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-2.3803181647963357e-17"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sn_new.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "uuid": "5113ce74-07a2-4b16-b8d0-7ed9495ccb9b"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9999999999999999"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sn_new.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "uuid": "f566cd19-61d3-4c69-9391-cb1c906d23c3"
   },
   "outputs": [],
   "source": [
    "def gen_sn(M, I, anti_paths=True, mo_match=True):\n",
    "    ''' Function to generate random numbers for simulation.\n",
    "    \n",
    "    Parameters\n",
    "    ==========\n",
    "    M: int\n",
    "        number of time intervals for discretization\n",
    "    I: int\n",
    "        number of paths to be simulated\n",
    "    anti_paths: boolean\n",
    "        use of antithetic variates\n",
    "    mo_math: boolean\n",
    "        use of moment matching\n",
    "    '''\n",
    "    if anti_paths is True:\n",
    "        sn = npr.standard_normal((M + 1, int(I / 2)))\n",
    "        sn = np.concatenate((sn, -sn), axis=1)\n",
    "    else:\n",
    "        sn = npr.standard_normal((M + 1, I))\n",
    "    if mo_match is True:\n",
    "        sn = (sn - sn.mean()) / sn.std()\n",
    "    return sn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Valuation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### European Options"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "S0 = 100.\n",
    "r = 0.05\n",
    "sigma = 0.25\n",
    "T = 1.0\n",
    "I = 50000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "uuid": "693f44be-b3dd-4820-9610-a127f0e9b31b"
   },
   "outputs": [],
   "source": [
    "def gbm_mcs_stat(K):\n",
    "    ''' Valuation of European call option in Black-Scholes-Merton\n",
    "    by Monte Carlo simulation (of index level at maturity)\n",
    "    \n",
    "    Parameters\n",
    "    ==========\n",
    "    K: float\n",
    "        (positive) strike price of the option\n",
    "    \n",
    "    Returns\n",
    "    =======\n",
    "    C0: float\n",
    "        estimated present value of European call option\n",
    "    '''\n",
    "    sn = gen_sn(1, I)\n",
    "    # simulate index level at maturity\n",
    "    ST = S0 * np.exp((r - 0.5 * sigma ** 2) * T \n",
    "                 + sigma * math.sqrt(T) * sn[1])\n",
    "    # calculate payoff at maturity\n",
    "    hT = np.maximum(ST - K, 0)\n",
    "    # calculate MCS estimator\n",
    "    C0 = math.exp(-r * T) * np.mean(hT)\n",
    "    return C0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "uuid": "f325da52-3e45-4e9e-a4a2-067efb1c3bb7"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.044221852841922"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gbm_mcs_stat(K=105.)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "M = 50  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "uuid": "511974d5-5ceb-4b68-bf7f-e01eaa43f7c6"
   },
   "outputs": [],
   "source": [
    "def gbm_mcs_dyna(K, option='call'):\n",
    "    ''' Valuation of European options in Black-Scholes-Merton\n",
    "    by Monte Carlo simulation (of index level paths)\n",
    "    \n",
    "    Parameters\n",
    "    ==========\n",
    "    K: float\n",
    "        (positive) strike price of the option\n",
    "    option : string\n",
    "        type of the option to be valued ('call', 'put')\n",
    "    \n",
    "    Returns\n",
    "    =======\n",
    "    C0: float\n",
    "        estimated present value of European call option\n",
    "    '''\n",
    "    dt = T / M\n",
    "    # simulation of index level paths\n",
    "    S = np.zeros((M + 1, I))\n",
    "    S[0] = S0\n",
    "    sn = gen_sn(M, I)\n",
    "    for t in range(1, M + 1):\n",
    "        S[t] = S[t - 1] * np.exp((r - 0.5 * sigma ** 2) * dt \n",
    "                + sigma * math.sqrt(dt) * sn[t])\n",
    "    # case-based calculation of payoff\n",
    "    if option == 'call':\n",
    "        hT = np.maximum(S[-1] - K, 0)\n",
    "    else:\n",
    "        hT = np.maximum(K - S[-1], 0)\n",
    "    # calculation of MCS estimator\n",
    "    C0 = math.exp(-r * T) * np.mean(hT)\n",
    "    return C0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "uuid": "44ae2961-ec7c-4e69-b6ff-17b8093a894b"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.950008525028434"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gbm_mcs_dyna(K=110., option='call')  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "uuid": "bedb79ae-4f01-41ea-b16a-22ea9781fc0e"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "12.629934942682004"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gbm_mcs_dyna(K=110., option='put')  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [],
   "source": [
    "from bsm_functions import bsm_call_value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "stat_res = []  \n",
    "dyna_res = []  \n",
    "anal_res = []  \n",
    "k_list = np.arange(80., 120.1, 5.)  \n",
    "np.random.seed(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [],
   "source": [
    "for K in k_list:\n",
    "    stat_res.append(gbm_mcs_stat(K))  \n",
    "    dyna_res.append(gbm_mcs_dyna(K))  \n",
    "    anal_res.append(bsm_call_value(S0, K, T, r, sigma))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "uuid": "e9e52ba0-6ccb-46df-a089-49505d6c7919"
   },
   "outputs": [],
   "source": [
    "stat_res = np.array(stat_res)  \n",
    "dyna_res = np.array(dyna_res)  \n",
    "anal_res = np.array(anal_res)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "uuid": "3f9f44ec-47de-4891-bf82-2b620c647c9a"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 720x432 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, sharex=True, figsize=(10, 6))\n",
    "ax1.plot(k_list, anal_res, 'b', label='analytical')\n",
    "ax1.plot(k_list, stat_res, 'ro', label='static')\n",
    "ax1.set_ylabel('European call option value')\n",
    "ax1.legend(loc=0)\n",
    "ax1.set_ylim(bottom=0)\n",
    "wi = 1.0\n",
    "ax2.bar(k_list - wi / 2, (anal_res - stat_res) / anal_res * 100, wi)\n",
    "ax2.set_xlabel('strike')\n",
    "ax2.set_ylabel('difference in %')\n",
    "ax2.set_xlim(left=75, right=125);\n",
    "# plt.savefig('../../images/ch12/stoch_15.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "uuid": "3f9f44ec-47de-4891-bf82-2b620c647c9a"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(2, 1, sharex=True, figsize=(10, 6))\n",
    "ax1.plot(k_list, anal_res, 'b', label='analytical')\n",
    "ax1.plot(k_list, dyna_res, 'ro', label='dynamic')\n",
    "ax1.set_ylabel('European call option value')\n",
    "ax1.legend(loc=0)\n",
    "ax1.set_ylim(bottom=0)\n",
    "wi = 1.0\n",
    "ax2.bar(k_list - wi / 2, (anal_res - dyna_res) / anal_res * 100, wi)\n",
    "ax2.set_xlabel('strike')\n",
    "ax2.set_ylabel('difference in %')\n",
    "ax2.set_xlim(left=75, right=125);\n",
    "# plt.savefig('../../images/ch12/stoch_16.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### American Options"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "uuid": "033296d5-230b-4b35-ae3f-a2a7ed8c8937"
   },
   "outputs": [],
   "source": [
    "def gbm_mcs_amer(K, option='call'):\n",
    "    ''' Valuation of American option in Black-Scholes-Merton\n",
    "    by Monte Carlo simulation by LSM algorithm\n",
    "    \n",
    "    Parameters\n",
    "    ==========\n",
    "    K : float\n",
    "        (positive) strike price of the option\n",
    "    option : string\n",
    "        type of the option to be valued ('call', 'put')\n",
    "    \n",
    "    Returns\n",
    "    =======\n",
    "    C0 : float\n",
    "        estimated present value of European call option\n",
    "    '''\n",
    "    dt = T / M\n",
    "    df = math.exp(-r * dt)\n",
    "    # simulation of index levels\n",
    "    S = np.zeros((M + 1, I))\n",
    "    S[0] = S0\n",
    "    sn = gen_sn(M, I)\n",
    "    for t in range(1, M + 1):\n",
    "        S[t] = S[t - 1] * np.exp((r - 0.5 * sigma ** 2) * dt \n",
    "                + sigma * math.sqrt(dt) * sn[t])\n",
    "    # case based calculation of payoff\n",
    "    if option == 'call':\n",
    "        h = np.maximum(S - K, 0)\n",
    "    else:\n",
    "        h = np.maximum(K - S, 0)\n",
    "    # LSM algorithm\n",
    "    V = np.copy(h)\n",
    "    for t in range(M - 1, 0, -1):\n",
    "        reg = np.polyfit(S[t], V[t + 1] * df, 7)\n",
    "        C = np.polyval(reg, S[t])\n",
    "        V[t] = np.where(C > h[t], V[t + 1] * df, h[t])\n",
    "    # MCS estimator\n",
    "    C0 = df * np.mean(V[1])\n",
    "    return C0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "uuid": "18dba6e2-2a7f-4474-bbee-227f354fcbc3"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.721705606305353"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gbm_mcs_amer(110., option='call')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "uuid": "a82c68fc-9820-43a7-8302-3ae0f5a47650"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "13.609997625418051"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gbm_mcs_amer(110., option='put')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [],
   "source": [
    "euro_res = []\n",
    "amer_res = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [],
   "source": [
    "k_list = np.arange(80., 120.1, 5.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "for K in k_list:\n",
    "    euro_res.append(gbm_mcs_dyna(K, 'put'))\n",
    "    amer_res.append(gbm_mcs_amer(K, 'put'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {
    "uuid": "2c4a0f35-5a41-416b-aa39-53d78d1cc366"
   },
   "outputs": [],
   "source": [
    "euro_res = np.array(euro_res)\n",
    "amer_res = np.array(amer_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {
    "uuid": "6304932d-114f-43b1-ae59-4b0ad2de33fc"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(2, 1, sharex=True, figsize=(10, 6))\n",
    "ax1.plot(k_list, euro_res, 'b', label='European put')\n",
    "ax1.plot(k_list, amer_res, 'ro', label='American put')\n",
    "ax1.set_ylabel('call option value')\n",
    "ax1.legend(loc=0)\n",
    "wi = 1.0\n",
    "ax2.bar(k_list - wi / 2, (amer_res - euro_res) / euro_res * 100, wi)\n",
    "ax2.set_xlabel('strike')\n",
    "ax2.set_ylabel('early exercise premium in %')\n",
    "ax2.set_xlim(left=75, right=125);\n",
    "# plt.savefig('../../images/ch12/stoch_17.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Risk Measures"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Value-at-Risk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [],
   "source": [
    "S0 = 100\n",
    "r = 0.05\n",
    "sigma = 0.25\n",
    "T = 30 / 365.\n",
    "I = 10000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
    "uuid": "5473289e-2301-40fb-a665-2d33d43ea09a"
   },
   "outputs": [],
   "source": [
    "ST = S0 * np.exp((r - 0.5 * sigma ** 2) * T +\n",
    "             sigma * np.sqrt(T) * npr.standard_normal(I))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "uuid": "b2eed114-77e7-479b-b20b-d36a0ffbe636"
   },
   "outputs": [],
   "source": [
    "R_gbm = np.sort(ST - S0)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "uuid": "b53e5254-96cc-4294-8ef7-76a2cf21cbca"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(R_gbm, bins=50)\n",
    "plt.xlabel('absolute return')\n",
    "plt.ylabel('frequency');\n",
    "# plt.savefig('../../images/ch12/stoch_18.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.simplefilter('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "uuid": "768aa308-d5c2-4f5d-9936-c19c9321996a"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Confidence Level    Value-at-Risk\n",
      "---------------------------------\n",
      "           99.99           21.814\n",
      "           99.90           18.837\n",
      "           99.00           15.230\n",
      "           97.50           12.816\n",
      "           95.00           10.824\n",
      "           90.00            8.504\n"
     ]
    }
   ],
   "source": [
    "percs = [0.01, 0.1, 1., 2.5, 5.0, 10.0]\n",
    "var = scs.scoreatpercentile(R_gbm, percs)\n",
    "print('%16s %16s' % ('Confidence Level', 'Value-at-Risk'))\n",
    "print(33 * '-')\n",
    "for pair in zip(percs, var):\n",
    "    print('%16.2f %16.3f' % (100 - pair[0], -pair[1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [],
   "source": [
    "dt = 30. / 365 / M\n",
    "rj = lamb * (math.exp(mu + 0.5 * delta ** 2) - 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "uuid": "b9952498-c4ad-4d5a-8d3c-3bce1d71006d"
   },
   "outputs": [],
   "source": [
    "S = np.zeros((M + 1, I))\n",
    "S[0] = S0\n",
    "sn1 = npr.standard_normal((M + 1, I))\n",
    "sn2 = npr.standard_normal((M + 1, I))\n",
    "poi = npr.poisson(lamb * dt, (M + 1, I))\n",
    "for t in range(1, M + 1, 1):\n",
    "    S[t] = S[t - 1] * (np.exp((r - rj - 0.5 * sigma ** 2) * dt\n",
    "                       + sigma * math.sqrt(dt) * sn1[t])\n",
    "                       + (np.exp(mu + delta * sn2[t]) - 1)\n",
    "                       * poi[t])\n",
    "    S[t] = np.maximum(S[t], 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {
    "uuid": "37cfd26e-2c44-456a-8b8b-56cf10e12aac"
   },
   "outputs": [],
   "source": [
    "R_jd = np.sort(S[-1] - S0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {
    "uuid": "3300cad0-872b-45ef-9b12-3fc3507b2c54"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(R_jd, bins=50)\n",
    "plt.xlabel('absolute return')\n",
    "plt.ylabel('frequency');\n",
    "# plt.savefig('../../images/ch12/stoch_19.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {
    "uuid": "8adcca19-77bf-4d8e-a342-1a5cc1cadd69"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Confidence Level    Value-at-Risk\n",
      "---------------------------------\n",
      "           99.99           76.520\n",
      "           99.90           69.396\n",
      "           99.00           55.974\n",
      "           97.50           46.405\n",
      "           95.00           24.198\n",
      "           90.00            8.836\n"
     ]
    }
   ],
   "source": [
    "percs = [0.01, 0.1, 1., 2.5, 5.0, 10.0]\n",
    "var = scs.scoreatpercentile(R_jd, percs)\n",
    "print('%16s %16s' % ('Confidence Level', 'Value-at-Risk'))\n",
    "print(33 * '-')\n",
    "for pair in zip(percs, var):\n",
    "    print('%16.2f %16.3f' % (100 - pair[0], -pair[1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {
    "uuid": "812884b3-c147-4799-8b7a-93eb62a9b1fc"
   },
   "outputs": [],
   "source": [
    "percs = list(np.arange(0.0, 10.1, 0.1))\n",
    "gbm_var = scs.scoreatpercentile(R_gbm, percs)\n",
    "jd_var = scs.scoreatpercentile(R_jd, percs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {
    "uuid": "b960f3cc-fed3-4cfa-9189-040931e4ab09"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(percs, gbm_var, 'b', lw=1.5, label='GBM')\n",
    "plt.plot(percs, jd_var, 'r', lw=1.5, label='JD')\n",
    "plt.legend(loc=4)\n",
    "plt.xlabel('100 - confidence level [%]')\n",
    "plt.ylabel('value-at-risk')\n",
    "plt.ylim(ymax=0.0);\n",
    "# plt.savefig('../../images/ch12/stoch_20.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Credit Value Adjustments"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [],
   "source": [
    "S0 = 100.\n",
    "r = 0.05\n",
    "sigma = 0.2\n",
    "T = 1.\n",
    "I = 100000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {
    "uuid": "92795f2e-84b4-4881-960f-91a39eb1cc77"
   },
   "outputs": [],
   "source": [
    "ST = S0 * np.exp((r - 0.5 * sigma ** 2) * T \n",
    "             + sigma * np.sqrt(T) * npr.standard_normal(I))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {
    "uuid": "3e3c6a61-c268-44f4-bce9-f3c2f83faac9"
   },
   "outputs": [],
   "source": [
    "L = 0.5  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {
    "uuid": "f06f2c7d-8c1a-4cc3-b171-dad76994c6b9"
   },
   "outputs": [],
   "source": [
    "p = 0.01  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [],
   "source": [
    "D = npr.poisson(p * T, I)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {
    "uuid": "38b71c82-76a1-4299-992f-93820cbf2677"
   },
   "outputs": [],
   "source": [
    "D = np.where(D > 1, 1, D)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {
    "uuid": "46418aea-2253-4f09-840a-1c45676bda2c"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "99.94767178982691"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "math.exp(-r * T) * np.mean(ST)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {
    "uuid": "fe7436d3-4eb4-40f4-9d4c-c5efa0e3d3a0"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.4883560258963962"
      ]
     },
     "execution_count": 106,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "CVaR = math.exp(-r * T) * np.mean(L * D * ST)  \n",
    "CVaR  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {
    "uuid": "3070c8f6-8a77-4373-b423-f6871170dbaf"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "99.45931576393053"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "S0_CVA = math.exp(-r * T) * np.mean((1 - L * D) * ST)  \n",
    "S0_CVA  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {
    "uuid": "d7d14139-b76d-4c11-a57b-930db11abd3c"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "99.5116439741036"
      ]
     },
     "execution_count": 108,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "S0_adj = S0 - CVaR  \n",
    "S0_adj  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {
    "uuid": "c6995617-5021-4d8f-9f94-8fca0571ff89"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "978"
      ]
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.count_nonzero(L * D * ST)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {
    "uuid": "fc6e6717-9ffc-486c-a736-3892c277f3e6"
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmQAAAFyCAYAAABbdsanAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAZq0lEQVR4nO3df5Bd9Xnf8bfQYhvBKl7MyjC4xokKj01TQ51ShvKbEDs1kAY7MzUZ5B/YNJmm1ECkQZbBP0ER5UdIUtzMZMrYLenErrENgTRWsbEwDCX+NZPUgcfFUA92bbTGKyQjjAGrf9wj+3qLVlfLnvucu/f9mtFwz/eePfcRj7h89D3nfM+yXbt2IUmSpDr7VRcgSZI07gxkkiRJxQxkkiRJxQxkkiRJxQxkkiRJxQxkkiRJxSaqC3ghZmZ2DGXNjgs2fX6g/W5af0bLlWgQU1MrmJ3dWV2G9oE9Gy32a/TYs26Ynp5ctqf3nCHTkjMxsby6BO0jezZa7NfosWfdZyCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqZiCTJEkqNtHWgSPiUOBK4JjMPK4ZexHw+8CTwNHA45n53ua9dcBKYArYnJm3tVWbJElSl7QWyICTgFuBY/vGLgO2ZObdABHx2uafxwOnZ+YbI2J/4O8j4u7M3NZifZIkSZ3Q2inLzPwksGPO8G8DvxgRF0fEh4HvNeNnA/c1P/cM8ABwSlu1SZIkdUmbM2TP51XArsy8ISLOBD4BnAasohfCdtvejM1ramoFExPLWyhzYaanJ6tLUMNejB57Nlrs1+ixZ9027EC2Hbi/eX0PcHJELAe2Av1/UlY2Y/Oand256AW+EDMzcycEVWF6etJejBh7Nlrs1+ixZ90wXyge9l2WnwN+qXl9BPDNzHwOuB04ASAiJuhd8H/3kGuTJEkq0eZdlqcCa4DDIuJy4DpgHfDBiDgWeA1wPkBm3h8Rd0XERnp3WV7qBf2SJGlctBbIMnMLsGXO8HeAd+1h/2vaqkWSJKnLXBhWkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSp2ERbB46IQ4ErgWMy87g5710OXJyZh/SNrQNWAlPA5sy8ra3aJEmSuqTNGbKTgFuBZf2DEXEavdDVP3Y8cHpmXgFcAlwXES9tsTZJkqTOaC2QZeYngR39YxHxcuAtwJ/M2f1s4L7m554BHgBOaas2SZKkLmntlOVcEbEfsBFYC/zCnLdX0Qthu21vxuY1NbWCiYnli1bjCzU9PVldghr2YvTYs9Fiv0aPPeu2oQUy4HXAM8Dv0DtleUBErAduAbYC/X9SVjZj85qd3dlCmQs3M7Nj7zupddPTk/ZixNiz0WK/Ro8964b5QvHQAllmfhn4MkBEvAp4Z2ZuarZvB97fvJ4AjgbuHlZtkiRJlVq7hiwiTgXWAIdFxOURcUAz/g+Bf0tvhuzyiDgwM+8H7oqIjfSuL7s0M7e1VZskSVKXtDZDlplbgC3PM/4QvevI1s4Zv6atWiRJkrrMhWElSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKGcgkSZKKTbR14Ig4FLgSOCYzj2vG/hDYCfwQOAa4ODO/17y3DlgJTAGbM/O2tmqTJEnqkjZnyE4CbgWW9Y09mZnvzcw/AL4GvBcgIo4HTs/MK4BLgOsi4qUt1iZJktQZrQWyzPwksGPO2OVzPvuHzeuzgfuafZ4BHgBOaas2SZKkLmntlOV8mtmv1wNvboZW0Qthu21vxuY1NbWCiYnli1/gAk1PT1aXoIa9GD32bLTYr9Fjz7pt6IEsIn4B+AhwQWb+oBneCvT/SVnZjM1rdnbn4hf4AszM7Nj7Tmrd9PSkvRgx9my02K/RY8+6Yb5QPNS7LCPiEOBGYF1mPhIRu2fIbgdOaPaZAI4G7h5mbZIkSVXavMvyVGANcFhEXA5cB2xuPvPPIwJ615jdkpn3R8RdEbGR3l2Wl2bmtrZqkyRJ6pLWAllmbgG2zBl+3Tz7X9NWLZIkSV3mwrCSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFDGSSJEnFJto6cEQcClwJHJOZxzVjBwObgIeBI4ENmflY8946YCUwBWzOzNvaqk2SJKlLBpohi4gPL+DYJwG3Asv6xjYCd2bmJuAzwLXN8Y8HTs/MK4BLgOsi4qUL+ExJkqSRM+gpy7Mj4uaIeEdEvGSQH8jMTwI75gyfBdzXvL632QY4e/d4Zj4DPACcMmBtkiRJI23QU5Zvzcy/i4gzgRsjYgb4s8z85j5+3ip+FtK2A1MRMdGMP9C33/ZmbF5TUyuYmFi+jyW0Z3p6sroENezF6LFno8V+jR571m2DBrLdIephYBtwIXBMRGwF/jgzvzLgcbYCk80xVgKzmflsc5z+Pykrm33nNTu7c8CPHY6ZmbkTgqowPT1pL0aMPRst9mv02LNumC8UD3rK8qaIuAP4IrATODYz/wW9YHbZPtRyB3BC8/rEZhvg9t3jzYzZ0cDd+3BcSZKkkTXoDNnhwAeA32yu8eoff/Xz/UBEnAqsAQ6LiMuB64ANwNURcRSwGlgLkJn3R8RdEbGR3l2Wl2bmtgX8fiRJkkbOoIHsbZn5P3dvRMTyzHwuMx8BXvt8P5CZW4Atc4afojer9nz7XzNgLZIkSUvKoKcs3xkRt/dt/9eI+I02CpIkSRo3gway/TPz7L7ttwAGMkmSpEUwaCD7uTseM3MX8MTilyNJkjR+Br2G7OURcRG9xVx30VuF/5DWqpIkSRojg86QXQocD2xufh3XjEmSJOkFGmiGLDMfB87vH4uI1cDjbRQlSZI0TgYKZBGxHDgDeDk/m1U7H3h9S3VJkiSNjUGvIbud3uOMvgk814wd3kpFkiRJY2bQQDaZmSf2D0TEGS3UI0mSNHYGvaj/c801Y/2OWuxiJEmSxtGgM2RvBdZHxPeBp4Fl9J45+adtFSZJkjQuBg1k3wZO69teRu9h45IkSXqBBg1kb8jMnf0DEfGOFuqRJEkaO4MGsoMi4j8CBwDvAK4H1gOzbRUmSZI0Lga9qP8a4G7g6cx8kt61Y/++taokSZLGyKCB7DuZ+Z+AHwJk5teAba1VJUmSNEYGDWQva/65CyAiDgTmLoMhSZKkBRj0GrI7I+J/AS+OiDuAfwpc1F5ZkiRJ42PQh4v/t4j4W+BMekteXJqZ2WplkiRJY2LQGTKaAPbTEBYR52bmp1upSpIkaYwMFMgi4qbnGT4eMJBJkiS9QIPOkP0D4Obm9f7AscBftVKRJEnSmBk0kF2QmY/2D0TEphbqkSRJGjuDBrJlEfHK5vV+wGHAP2+nJEmSpPEyaCD7O+BxendY7gK+iyv1S5IkLYpBA9n7M/OGViuRJEkaU4Ou1L9zT29ExO8uUi2SJEljadAZsvdFxFueZ3wZcCS9h41LkiRpAQYNZJ8CngC+2GyfBLwEuAO4tIW6JEmSxsa+rNR/Rd/m5oi4PjO3RMRDLdQlSZI0NgYNZP84Il6UmT8GiIgXA/8EIDO/s68fGhHrgFcB36d3yvOdwAHAJuDhZmxDZj62r8eWJEkaNftyyvJbEfElesteHAdctZAPjIhDgfcAh2TmTyLiVuBNwMnAnZn5iYg4B7gWWLOQz5AkSRolA91lmZl/Avwa8D+AzwFvyMwbF/iZO4EfAyub7YOArwNnAfc1Y/c225IkSUvewNeQAT8CHgC+QG+l/gXJzO3NKcuPR8R3gW8DDwGrgB3NbtuBqYiYyMxn93SsqakVTEwsX2gpi256erK6BDXsxeixZ6PFfo0ee9ZtAwWyiHg7cAXwf4AtwB9GxGcy8+b5fm4PxzoWWAe8LjOfjYjrgPcBW4FJYBu92bPZ+cIYwOzsHpdHKzEzs2PvO6l109OT9mLE2LPRYr9Gjz3rhvlC8aALw55M70L7b2TmM5n5W8AJC6zncOAHfWHru/xsCY3dxzyx2ZYkSVryBj1l+b3mAvz+sZ8s8DP/GnhjMzO2Dfhl4GLgaeDqiDgKWA2sXeDxJUmSRsqggWw6In4beGlEHAe8Hjh4IR+Ymc8Bv7eHty9cyDElSZJG2aCnLC8Dfh04E/grIIB/11ZRkiRJ42TQGbI1wEcz861tFiNJkjSOBp0hWwc82mYhkiRJ42rQQPZF4Jv9AxHxtsUvR5IkafwMespyB/DFiPgCvbshAd4IfKyNoiRJksbJvDNkEfGRiFhJ72L+zfQeebSs+SVJkqRFsLcZsqebRx0ty8wP9r8REc+1WJckLboLNn1+oP1uWn9Gy5VI0s/bWyCLiLgAeCgi5t5heUpLNUmSJI2VvQWyjcBbgVcAp8957/BWKpIkSRoz8wayzLwHuCci3pSZn+p/LyLe1GplkiRJY2KgZS/mhrE9jUmSJGnfDboOmSRJklpiIJMkSSo26MKwkqQ5Bl1GY1+45IY0npwhkyRJKmYgkyRJKmYgkyRJKmYgkyRJKmYgkyRJKmYgkyRJKmYgkyRJKmYgkyRJKmYgkyRJKmYgkyRJKmYgkyRJKuazLCVpjjaeUSlJ83GGTJIkqZiBTJIkqZiBTJIkqVjJNWQREcB5wFPAqcAHgIeATcDDwJHAhsx8rKI+SZKkYRp6IIuI5cD1wDmZ+ZOI+M/As8BG4M7M/EREnANcC6wZdn2SVGmxbyi4af0Zi3o8Se2omCE7DlgGXBQRK4DHgT8DzgKuava5F/hYQW2SJElDVxHIjgBOAM7LzCci4mbgx8AqYEezz3ZgKiImMvPZPR1oamoFExPLWy94UNPTk9UlqGEvRo89a0db/17t1+ixZ91WEci2Aw9m5hPN9j3AacBWYBLYBqwEZucLYwCzsztbLHPfzczs2PtOat309KS9GDH2rD1t/Hu1X6PHnnXDfKG44i7L+4GXNdeSQW/G7BvAHfRmzgBObLYlSZKWvKHPkGXmDyLiMuCGiJgBpoEPAQcAV0fEUcBqYO2wa5MkSapQsuxFZn4a+PSc4aeACwvKkSRJKuXCsJIkScUMZJIkScUMZJIkScUMZJIkScUMZJIkScUMZJIkScVKlr2QNN4GfYD2oA/GXuwHckvSsDlDJkmSVMxAJkmSVMxAJkmSVMxryCR1lteGvXCLfb2epHY4QyZJklTMQCZJklTMQCZJklTMQCZJklTMQCZJklTMQCZJklTMQCZJklTMQCZJklTMhWElSQNzoVmpHc6QSZIkFTOQSZIkFTOQSZIkFTOQSZIkFTOQSZIkFfMuS0nSwHdPSmqHM2SSJEnFDGSSJEnFDGSSJEnFyq4hi4gDgPuBzZm5NiIOBjYBDwNHAhsy87Gq+iRJkoalcobsSuBrfdsbgTszcxPwGeDakqokSZKGrCSQRcQa4F7gkb7hs4D7mtf3NtuSJElL3tBPWUbE0cBrMnNDRLy2761VwI7m9XZgKiImMvPZPR1ramoFExPLW6x230xPT1aXoIa9kGrtyzIaf3ndv2yxEu3m92K3VVxDdi7wo4hYD5wEvCgiLga2ApPANmAlMDtfGAOYnd3Zdq37ZGZmx953UuumpyfthTRC/O+1fX4vdsN8oXjogSwzr9r9OiJeAhyUmTdExKuBE4BHgROBO4ZdmyRJUoXKuyzfDJxCb4bsPGADcHVEHAWsBtZW1SZJkjRMZYEsM28BbpkzfGFFLZIkSZVcGFaSJKmYgUySJKmYgUySJKmYgUySJKmYgUySJKlY2V2WkpaefVmdXZL0M86QSZIkFTOQSZIkFTOQSZIkFTOQSZIkFTOQSZIkFTOQSZIkFXPZC0lSqUGXS7lp/RktVyLVcYZMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmIFMkiSpmMteSJJGgstjaClzhkySJKmYgUySJKmYgUySJKmYgUySJKmYgUySJKmYd1lKkpYU78bUKHKGTJIkqZiBTJIkqZiBTJIkqZiBTJIkqdjQL+qPiNXAlcBXgVcAj2fmhyLiYGAT8DBwJLAhMx8bdn2SJEnDVnGX5cHAX2TmrQAR8fcRcQdwIXBnZn4iIs4BrgXWFNQnSZI0VEMPZJn5pTlD+wFPAmcBVzVj9wIfG2ZdkiRJVUrXIYuIc4HPZuaDEbEK2NG8tR2YioiJzHx2Tz8/NbWCiYnlwyh1INPTk9UlqGEvJO3NuH1PjNvvd9SUBbKIOB04Hbi4GdoKTALbgJXA7HxhDGB2dmerNe6rmZkde99JrZuenrQXkvZqnL4n/F7shvlCcUkgi4izgJOBdwOHRcQRwB3ACcCjwInNtiRJ0pJXcZflrwAfB74M3AUcCNwIbACujoijgNXA2mHXJo0THy8jSd1RcVH/V4CD9vD2hcOsRZIkqQtcGFaSJKmYgUySJKlY6bIXkiR1nddbahicIZMkSSpmIJMkSSpmIJMkSSpmIJMkSSpmIJMkSSrmXZaS5jXoHWaSpIUzkEmSxpJ/2VCXeMpSkiSpmDNk0hLj3/olafQ4QyZJklTMGTJJkobMxzFpLmfIJEmSihnIJEmSihnIJEmSihnIJEmSihnIJEmSinmXpSRJI867NkefM2SSJEnFnCGTJGkR+JQMvRAGMmlE+GUvSUuXpywlSZKKOUMmSVJHOTM+PpwhkyRJKuYMmSRJY2Kxl8dwuY3F4wyZJElSMWfIpJZ47YekUVX5/TWus26dC2QRcSbwJmArsCszP1hckiRJUqs6FcgiYgXwp8A/ysynI+KWiPjVzPxcdW2SJKk7FnsWr3rGrWvXkJ0AfCszn2627wXOKqxHkiSpdct27dpVXcNPRcR5wL/KzN9stt8FnJaZ59dWJkmS1J6uzZBtBSb7tlc2Y5IkSUtW1wLZfcAREfHiZvtE4I7CeiRJklrXqVOWABHxa8BvATPAM95lKUmSlrrOBTJJkqRx07VTlpIkSWPHQCZJklSsUwvDdo1PDei+iFgNXAl8FXgF8HhmfigiDgY2AQ8DRwIbMvOxukrVLyIOAO4HNmfmWvvVbRERwHnAU8CpwAeAh7BnnRQR64BXAd+n15t3AgdgvzrNGbI96HtqwCWZ+QHgtRHxq7VV6XkcDPxFZl6Tme8G3hIRvwJsBO7MzE3AZ4BrK4vU/+dK4Gt92/aroyJiOXA98KHMvJre/9wfwZ51UkQcCrwHuCgz3w8cSG9iwX51nIFsz3xqwAjIzC9l5q19Q/sBT9Lr1X3NmL3rkIhYQ68nj/QN26/uOg5YBlwUEe8BzqE382LPumkn8GN663gCHAR8HfvVeQayPVsF7Ojb3t6MqaMi4lzgs5n5ID/fv+3AVER4ir5YRBwNvCYzPzXnLfvVXUfQ+wvqRzPzD4BTgLdhzzopM7cD64CPR8RHgW/TO71svzrOQLZnPjVghETE6cDpwCXNUH//VgKzmflsRW36OecCP4qI9cBJwD+LiIuxX122HXgwM59otu8BTsOedVJEHEsvkJ2VmW+nN5v5PuxX55mO9+ynTw1oTlueCHykuCY9j4g4CzgZeDdwWEQcQe8JDycAj+ITHzojM6/a/ToiXgIclJk3RMSrsV9ddT/wsohYnpnP0Zsx+wbwI+xZFx0O/KAvbH0XeCV+J3aeC8POw6cGdF9zAf8W4MvN0IHAjcBtwNXAt4DVwHrvKOqOiHgz8HvAi+j167PYr85qLgc4g9534SuBi+jdtWfPOqa5CeOP6QXmbcAvAxcDT2O/Os1AJkmSVMxryCRJkooZyCRJkooZyCRJkooZyCRJkooZyCRJkooZyCSNjYj4NxHxfyPitOpaJKmfgUzS2MjMj9Bb1FSSOsWV+iWNpYg4BLgeeAw4DPjvmfnnEbEfvcVqnwZ2AdOZeX5ErGrGH6b3XMCvZ+a1NdVLWmoMZJLG1R8Bf5OZfxQR+wPfiIi/BfYHTs3MowEi4j3N/ucDM5l5WbMa+u+XVC1pSfKUpaRx9evAvQCZ+QzwFeANwP8Gno2Iz0fEu+jNigF8ATg3Im4GzqY3uyZJi8JAJmlc7Wp+7bYM2JWZO4BjgA8DJwEPRMRUZn4V+CXgL4FLgduHXK+kJcxAJmlc/TW9wEVzyvJ1wObmgfXnZ+Zdmfl2YCvwyoj418AvZubHgd8Ajq8pW9JS5MPFJY2NiPhd4Argb4CLgSuB7wOHArc3F/WvBv4D8CDwYuApYC2905S/04wfCnw2M//L0H8TkpYkA5kkSVIxT1lKkiQVM5BJkiQVM5BJkiQVM5BJkiQVM5BJkiQVM5BJkiQVM5BJkiQVM5BJkiQV+38jLQWwsrrPgQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(L * D * ST, bins=50)\n",
    "plt.xlabel('loss')\n",
    "plt.ylabel('frequency')\n",
    "plt.ylim(ymax=175);\n",
    "# plt.savefig('../../images/ch12/stoch_21.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [],
   "source": [
    "K = 100.\n",
    "hT = np.maximum(ST - K, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {
    "uuid": "59b7c831-c915-4c06-a23b-0ac913220d76"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.396916492839354"
      ]
     },
     "execution_count": 112,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "C0 = math.exp(-r * T) * np.mean(hT)  \n",
    "C0  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {
    "uuid": "da0198e3-10bc-4324-8e0e-b09c2e61e94d"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.05159099858923533"
      ]
     },
     "execution_count": 113,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "CVaR = math.exp(-r * T) * np.mean(L * D * hT)  \n",
    "CVaR  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {
    "uuid": "24d26328-f3f2-4da4-8d5c-7fb06a70eec8"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.34532549425012"
      ]
     },
     "execution_count": 114,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "C0_CVA = math.exp(-r * T) * np.mean((1 - L * D) * hT)  \n",
    "C0_CVA  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {
    "uuid": "a221dbb8-eec3-45e1-abd7-146050c0285f"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "538"
      ]
     },
     "execution_count": 115,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.count_nonzero(L * D * hT)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {
    "uuid": "e1becbb6-7a1e-49bb-8a8e-b7daab189c6e"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "978"
      ]
     },
     "execution_count": 116,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.count_nonzero(D)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {
    "uuid": "44c3d031-8002-4bba-abd7-0db5451b2d52"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "44123"
      ]
     },
     "execution_count": 117,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "I - np.count_nonzero(hT)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {
    "uuid": "b132d24e-093b-45e6-a4cc-29b8ef006038"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(L * D * hT, bins=50)\n",
    "plt.xlabel('loss')\n",
    "plt.ylabel('frequency')\n",
    "plt.ylim(ymax=350);\n",
    "# plt.savefig('../../images/ch12/stoch_22.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
    "\n",
    "<a href=\"http://tpq.io\" target=\"_blank\">http://tpq.io</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a> | <a href=\"mailto:training@tpq.io\">training@tpq.io</a>"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
